Home / 1,317.73-1,975.82-496.07

Finding the Fourth Proportional to 1,317.73, 1,975.82 and 496.07

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Solution

The fourth proportional to 1,317.73, 1,975.82 and 496.07 is: 743.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.73 : 1,975.82 = 496.07 : x
  2. Step 2: Convert to fraction form
    1,317.73/1,975.82 = 496.07/x
  3. Step 3: Cross multiply
    1,317.73x = 1,975.82 × 496.07
  4. Step 4: Simplify right side
    1,317.73x = 980,145.03
  5. Step 5: Solve for x
    x = 980,145.03/1,317.73
  6. Step 6: Final answer
    x = 743.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.